Low-dimensional physics of ultracold gases with bound states and the sine-Gordon model

TL;DR

This paper discusses the low-dimensional physics of ultracold gases, focusing on the sine-Gordon model and the Kosterlitz-Thouless transition, with experimental evidence and extensions to two-component systems with bound states.

Contribution

It provides a detailed analysis of the phase diagram and experimental validation of the theoretical models for one-dimensional ultracold gases, including bound state formation.

Findings

Experimental evidence for the Kosterlitz-Thouless transition

Extension to two-component systems with bound states

Analysis of trimer formation in the Hubbard model

Abstract

One-dimensional systems of interacting atoms are an ideal laboratory to study the Kosterlitz-Thouless phase transition. In the renormalization group picture there is essentially a two-parameter phase diagram to explore. We first present how detailed experiments have shown direct evidence for the theoretical treatment of this transition. Then generalization to the case of two-component systems with bound state formation is discussed. Trimer formation in the asymmetric attractive Hubbard model involve in a crucial way this kind of physics.